i don’t know the exact situation but hey, you’d have to weigh the pros and cons. If it’s a few issues such as davening in yeshiva vs being in an environment you’re totally uncomfortable in i.e. they are on social media and go to the games and you learn, i guess it’s up to you to decide which is better for you.
I think you should have a personal rav or posek and ask him.
Anyway, according to the little I remember from the 39 melachos sefer from rabbi ribiat, the first is correct. Don’t know about going out on shabbos with it, though.